A generalization of the cone expansion and compression fixed point theorem and applications

作者：Zhang Guowei^*; Sun Jingxian

来源：Nonlinear Analysis-Theory Methods & Applications, 2007, 67(2): 579-586.

DOI：10.1016/j.na.2006.06.003

• fixed point theorem
• cone compression and expansion
• retract
• positive solution

The classical Krasnosel'skii fixed point theorem concerning cone compression and expansion of norm type is extended; in it the norm is replaced with some convex functional. As an application, the existence of positive solutions for the singular second-order m-point boundary value problem is considered.

• 出版日期2007-7-15
• 单位东北大学; 江苏师范大学